Hartmut Prautzsch, Wolfgang Boehm

Geometric Concepts for Geometric Design (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book gives a solid foundation of geometric methods and their underlying principles, geometric design and modeling, and applications of geometry. It addresses students, teachers and researchers in mathematics, computer science and engineering who are confronted with geometric problems.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 424
• Erscheinungstermin: 8. Oktober 2018
• Englisch
• ISBN-13: 9781439864616
• Artikelnr.: 57896157

Autorenporträt

Prautzsch, Hartmut; Boehm, Wolfgang

Inhaltsangabe

I: Some Linear Algebra 1. Linear Systems 2. Linear Spaces 3. Least Squares
II: Images and Projections 4. Parallel Projections 5. Moving the Object 6.
Perspective Drawings 7. The Mapping Matrix 8. Reconstruction III: Affine
Geometry 9. Affine Space 10. The Barycentric Calculus 11. Affine Maps 12.
Affine Figures 13. Quadrics in Affine Spaces 14. More on Affine Quadrics
15. Homothetic Pencils IV: Euclidean Geometry 16. The Euclidean Space 17.
Some Euclidean Figures 18. Quadrics in Euclidean Space 19. Focal Properties
V: Some Projective Geometry 20. The Projective Space 21. Projective Maps
22. Some Projective Figures 23. Projective Quadrics VI: Some Descriptive
Geometry 24. Associated Projections 25. Penetrations VII: Basic Algebraic
Geometry 26. Implicit Curves and Surfaces 27. Parametric Curves and
Surfaces 28. Some Elimination Methods 29. Implicitization, Inversion and
Intersection VIII: Differential Geometry 30. Curves 31. Curves on Surfaces
32. Surfaces